Given:
The area of a rectangle is 99 square yd.
Length of the rectangle = 7 yd more than twice the width.
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then, length of the rectangle is:
Area of a rectangle is:
The area of a rectangle is 99 square yd.
Splitting the middle term, we get
Using zero product property, we get
and 
and 
and 
Width of the rectangle cannot be negative. So, yd.
Now, the length of the rectangle is:
Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.
Answer:
8<em>h</em>
Step-by-step explanation:
8 miles per hour
<em>h</em> hours
plug in <em>h </em>for how many hours
8 divided by 6 is 1.3
1.3 hours to run 6 miles
Ok so if we have five dollars per shirt, and if the number of shirts we buy is x, we have 5x dollars for the price. there is also a $40 design fee, so that adds 40. we do not need to pay 40 for every shirt, just once for the whole group, so we have 5x+40 as our answer
70+80+(m+10)= 180°
150+m+10=180
160+m=180
m=20°
Answer:
The angle of elevation of the sun from the ground to the top of a tree is 
.
Step-by-step explanation:
As given
The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.
Now by using the trignometric identity .
As figure is given below .
AB = Perpendicular = 10 yards
BC = Base = 14 yards
Putting all the values in the trignometric identity .
Therefore the angle of elevation of the sun from the ground to the top of a tree is .
